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Finding the Fourth Proportional to 7,294.88, 10,942.32 and 3,188

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Solution

The fourth proportional to 7,294.88, 10,942.32 and 3,188 is: 4,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.88 : 10,942.32 = 3,188 : x
  2. Step 2: Convert to fraction form
    7,294.88/10,942.32 = 3,188/x
  3. Step 3: Cross multiply
    7,294.88x = 10,942.32 × 3,188
  4. Step 4: Simplify right side
    7,294.88x = 34,884,116.16
  5. Step 5: Solve for x
    x = 34,884,116.16/7,294.88
  6. Step 6: Final answer
    x = 4,782.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.